Piecewise linear conditional information inequality

  • Authors:
  • F. Matus

  • Affiliations:
  • Inst. of Inf. Theor. & Autom., Acad. of Sci. of the Czech Republic, Prague

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

A new information inequality of non-Shannon type is proved for three discrete random variables under conditional independence constraints, using the framework of entropy functions and polymatroids. Tightness of the inequality is described via quasi-groups